(11w+9)(2w-7)=0

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Solution for (11w+9)(2w-7)=0 equation: 


Simplifying
(11w + 9)(2w + -7) = 0

Reorder the terms:
(9 + 11w)(2w + -7) = 0

Reorder the terms:
(9 + 11w)(-7 + 2w) = 0

Multiply (9 + 11w) * (-7 + 2w)
(9(-7 + 2w) + 11w * (-7 + 2w)) = 0
((-7 * 9 + 2w * 9) + 11w * (-7 + 2w)) = 0
((-63 + 18w) + 11w * (-7 + 2w)) = 0
(-63 + 18w + (-7 * 11w + 2w * 11w)) = 0
(-63 + 18w + (-77w + 22w2)) = 0

Combine like terms: 18w + -77w = -59w
(-63 + -59w + 22w2) = 0

Solving
-63 + -59w + 22w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-9 + -11w)(7 + -2w) = 0


Subproblem 1
Set the factor '(-9 + -11w)' equal to zero and attempt to solve:

Simplifying
-9 + -11w = 0

Solving
-9 + -11w = 0

Move all terms containing w to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + -11w = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -11w = 0 + 9
-11w = 0 + 9

Combine like terms: 0 + 9 = 9
-11w = 9

Divide each side by '-11'.
w = -0.8181818182

Simplifying
w = -0.8181818182

Subproblem 2
Set the factor '(7 + -2w)' equal to zero and attempt to solve:

Simplifying
7 + -2w = 0

Solving
7 + -2w = 0

Move all terms containing w to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -2w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2w = 0 + -7
-2w = 0 + -7

Combine like terms: 0 + -7 = -7
-2w = -7

Divide each side by '-2'.
w = 3.5

Simplifying
w = 3.5
Solution
w = {-0.8181818182, 3.5}

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